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Finding the Fourth Proportional to 10,910.67, 16,374.16 and 4,248.22

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Solution

The fourth proportional to 10,910.67, 16,374.16 and 4,248.22 is: 6,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,910.67 : 16,374.16 = 4,248.22 : x
  2. Step 2: Convert to fraction form
    10,910.67/16,374.16 = 4,248.22/x
  3. Step 3: Cross multiply
    10,910.67x = 16,374.16 × 4,248.22
  4. Step 4: Simplify right side
    10,910.67x = 69,560,982.44
  5. Step 5: Solve for x
    x = 69,560,982.44/10,910.67
  6. Step 6: Final answer
    x = 6,375.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.